壁电导率非理想时内壁有薄氧化层的圆波导的普遍化特征方程及求解

The Generalized Characteristic Equation for Imperfect Conducting Wall Circular Waveguides Coated with Thin Oxide-layer on the Inner Wall

圆波导的特征方程已有几种基本形式:CMS-Stratton方程、Brown方程、BWB-Unger方程。本文推导了波导壁的电导率有限、并具有氧化层的新方程。用Müller法获得了精确数值解,用微扰法获得了近似解。鉴于截止波导衰减标准的计算精确度要求很高,本文的讨论重点放在截止区。

There have been Characteristic equations for circular waveguides of the following fundamental forms- CMS-Stratton equation, Brown equation, and BWB-Unger equation. A new characteristic equation is derived in this paper on considering effects of finite conductivity of guide wall and an oxide layer on the wall simultaneously. The exact numerical calculation and the approximate calculation are obtained by the Muller's method and the perturbation method, respectively. In view of the higher computation accuracy of the attenuation standard of cutoff waveguides, the discussion of this paper paid more attention to the cutoff region.